✦ LIBER ✦

Double Coset Decompositions of Groups

✍ Scribed by Graham A. Niblo

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 65 KB
Volume: 220
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.7935

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✦ Synopsis

We show that residually finite or word hyperbolic groups which can be decomposed as a finite union of double cosets of a cyclic subgroup are necessarily virtually cyclic, and we apply this result to the study of Frobenius permutation groups. We show that in general, finite double coset decompositions of a group can be interpreted as an obstruction to splitting a group as a free product with amalgamation or an HNN extension.

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